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What is the anti-linear involution used to construct the ADHM data and the hyper-Kähler quotient?

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abstract : We show that no device built according to the rules of quantum field theory can measure proper time along its path. Highly accelerated quantum clocks experience the Unruh effect, which inevitably influences their time rate. This contradicts the concept of an ideal clock, whose rate should only depend on the instantaneous velocity.

The authors derive analytically from a simplest case of a uniform acceleration through the study of a decaying particle in a cavity that the time measured by a clock depends on its acceleration and even more for a general accelerated motion.

They conclude that "All known physical processes and consequently all devices must become sensitive to their accelerations at certain scales and therefore the rate of any physical clock must inevitably differ from the idealized formula" and suggest further (numerical) evaluations of the impact.

@igael thanks for the nice summary; maybe you could also write a review for the paper if you have read it in some detail?

It would not have to be a full review like for a peer-reviewd journal that considers all details of the paper. On PhysicsOverflow reviews (answers to submissions) that discuss partial aspects of the work at hand are also highly welcome and appreciated.

@Dilaton: it is difficult because the authors come and go from classical relativities to QFT. Many assumptions have to be checked precisely, for example when they apply GR to the decay with a precise number of particles ( one ) and a very precise trajectory. For me, it is unclear how this may apply to quantum entities. Nevertheless, it is a very interesting document as much for the exercise ( (11) -> (25) ! ) and its fundamental contents. Notice that there is an older similar work on the effects on time of the "Casimir effect". Probably in a few weeks...

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